Physics I / Heat Transfer: Conduction, Convection, Radiation
Practice question · Fill in the blanks

Complete the following passage by choosing the correct terms from the word bank.

The Stefan–Boltzmann law states that the power radiated per unit area is P/A=εA = \varepsilon______ T4T^{4}, where σ\sigma 5.67\approx 5.67 ×10\times 10⁻⁸ W/(m2K4m^{2} \cdot K^{4}) is the ______ constant and ε\varepsilon is the ______ of the surface.

Word bank: σ · Stefan–Boltzmann · emissivity · Boltzmann · reflectivity · π

Hints
  1. The radiated power depends on the fourth power of the temperature.
  2. A perfect emitter has an emissivity of one.
Show the answer

The Stefan–Boltzmann law states that the power radiated per unit area is P/A=εA = \varepsilonσ T4T^{4}, where σ\sigma 5.67\approx 5.67 ×10\times 10⁻⁸ W/(m2K4m^{2} \cdot K^{4}) is the Stefan–Boltzmann constant and ε\varepsilon is the emissivity of the surface.

Why

Stefan–Boltzmann law: P=εσAT4.AP = \varepsilon\sigma AT^{4}. A perfect black body has ε\varepsilon = 1.

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